What is the Greatest Common Factor of 78186 and 78201?

Greatest common factor (GCF) of 78186 and 78201 is 3.

GCF(78186,78201) = 3

We will now calculate the prime factors of 78186 and 78201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78186 and 78201.

How to find the GCF of 78186 and 78201?

We will first find the prime factorization of 78186 and 78201. After we will calculate the factors of 78186 and 78201 and find the biggest common factor number .

Step-1: Prime Factorization of 78186

Prime factors of 78186 are 2, 3, 83, 157. Prime factorization of 78186 in exponential form is:

78186 = 2¹ × 3¹ × 83¹ × 157¹

Step-2: Prime Factorization of 78201

Prime factors of 78201 are 3, 8689. Prime factorization of 78201 in exponential form is:

78201 = 3² × 8689¹

Step-3: Factors of 78186

List of positive integer factors of 78186 that divides 78186 without a remainder.

1, 2, 3, 6, 83, 157, 166, 249, 314, 471, 498, 942, 13031, 26062, 39093

Step-4: Factors of 78201

List of positive integer factors of 78201 that divides 78186 without a remainder.

1, 3, 9, 8689, 26067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78186 and 78201. The biggest common factor number is the GCF number.
So the greatest common factor 78186 and 78201 is 3.

Also check out the Least Common Multiple of 78186 and 78201